Question

What is the complete factorization of What is the complete factorization of 5x2 − 11x − 12?

Answer 1

(x-3)(5x+4)

x=3 x=-4/5

Answer 2

(5x + 4)(x - 3)

Explanation:

Hello!

Factor:

• 5x² - 11x - 12

Think: What two numbers add up to -11 but multiply to (5)(-12)?

Answer: -15 and 4

Continue:

• 5x² - 11x - 12
• 5x² - 15x + 4x - 12 Expand with the values we found
• 5x(x - 3) + 4(x - 3) Factor by grouping
• (5x + 4)(x - 3)

The factored expression is (5x + 4)(x - 3)